10141115313 has 48 divisors (see below), whose sum is σ = 16144497600. Its totient is φ = 5642711424.

The previous prime is 10141115293. The next prime is 10141115321. The reversal of 10141115313 is 31351114101.

10141115313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141115313 - 2⁶ = 10141115249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10141115313.

It is not an unprimeable number, because it can be changed into a prime (10141115333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2203731 + ... + 2208327.

It is an arithmetic number, because the mean of its divisors is an integer number (336343700).

Almost surely, 2^10141115313 is an apocalyptic number.

It is an amenable number.

10141115313 is a deficient number, since it is larger than the sum of its proper divisors (6003382287).

10141115313 is a wasteful number, since it uses less digits than its factorization.

10141115313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10141115313 its reverse (31351114101), we get a palindrome (41492229414).

The spelling of 10141115313 in words is "ten billion, one hundred forty-one million, one hundred fifteen thousand, three hundred thirteen".